Force sensors are mounted on two carts that roll frictionlessly. One cart has twice the mass of the other, and it is made to roll into the lighter cart, which is initially at rest. The graph of the magnitude of the force recorded by the sensor on the heavier cart is shown below. F What qualities can we expect to see for a graph of force vs. time coming from the sensor on the lighter cart during the same collision? same graph (same peak height, same area under curve) higher peak, same area under curve same peak height, larger area under curve O higher peak, larger area under curve O it depends upon which cart is moving faster
Force sensors are mounted on two carts that roll frictionlessly. One cart has twice the mass of the other, and it is made to roll into the lighter cart, which is initially at rest. The graph of the magnitude of the force recorded by the sensor on the heavier cart is shown below. F What qualities can we expect to see for a graph of force vs. time coming from the sensor on the lighter cart during the same collision? same graph (same peak height, same area under curve) higher peak, same area under curve same peak height, larger area under curve O higher peak, larger area under curve O it depends upon which cart is moving faster
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Transcribed Image Text:**Educational Website Content:**
**Title: Investigating Forces in Collisions**
**Introduction:**
In this educational module, we explore the dynamics of collisions between two carts with different masses. By using force sensors mounted on these carts, we can observe and analyze the forces at play during a collision.
**Experiment Setup:**
Two carts roll frictionlessly. One cart has twice the mass of the other and rolls into the lighter cart, which is initially at rest. The experiment involves measuring the force exerted during the collision.
**Graph Analysis:**
The graph above depicts the magnitude of the force \( F \) recorded by the sensor on the heavier cart over time \( t \). The curve shows a rise to a peak force, followed by a decline back to zero.
**Discussion Question:**
What characteristics should we expect to observe in a graph of force vs. time from the sensor on the lighter cart during the same collision?
**Answer Options:**
- Same graph (same peak height, same area under curve)
- Higher peak, same area under curve
- Same peak height, larger area under curve
- Higher peak, larger area under curve
- It depends on which cart is moving faster
Engage with the content by considering the options above and think about how the principles of physics, such as Newton's third law and conservation of momentum, apply to this scenario. Analyze which option best describes the expected force graph for the lighter cart based on these principles.
**Conclusion:**
Understanding these concepts is crucial for grasping the fundamental forces at work during a collision. This exercise not only helps with mastering the theory but also with interpreting experimental data effectively.
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